2741626261472 has 96 divisors (see below), whose sum is σ = 6203148557760. Its totient is φ = 1168419409920.

The previous prime is 2741626261433. The next prime is 2741626261519.

2741626261472 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2741626261472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92168522 + ... + 92198262.

It is an arithmetic number, because the mean of its divisors is an integer number (64616130810).

Almost surely, 2^{2741626261472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2741626261472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101574278880).

2741626261472 is an abundant number, since it is smaller than the sum of its proper divisors (3461522296288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2741626261472 is a wasteful number, since it uses less digits than its factorization.

2741626261472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32044 (or 32036 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 50.

The spelling of 2741626261472 in words is "two trillion, seven hundred forty-one billion, six hundred twenty-six million, two hundred sixty-one thousand, four hundred seventy-two".